Examples of exact exponential cosmological solutions with three isotropic subspaces in the Einstein-Gauss-Bonnet gravity

We consider $(1+8)$- and $(1+10)$-dimensional Einstein-Gauss-Bonnet models with the cosmological $\mathrm{\Lambda }$-term. Some new examples of exact solutions with three constant Hubble-like parameters in this model are obtained, governed by three non-coinciding Hubble-like parameters: $H\mathrm{\ne }0$, $h_1$ and $h_2$, obeying $mH+k_1{h}_1+k_2{h}_2\mathrm{\ne }0$, corresponding to factor spaces of dimensions $m⩾3$, $k_1>1$ and $k_2⩾1$. In this case, the multidimensional cosmological model deals with three factor spaces: the external 3-dimensional “our” world and internal subspaces with dimensions $(m-3)$, $k_1$ and $k_2$.